We study repeated games with imperfect public monitoring and unequal discounting. We characterize the limit set of perfect and public equilibrium payoffs as discount factors converge to 1 with the relative patience between players fixed. We show that the pairwise and individual full rank conditions are suffi cient for the folk theorem. ∗[email protected] †The author is thankful to Stephe...

The spindle assembly checkpoint prevents separation of sister chromatids until each kinetochore is attached to the mitotic spindle. Rodriguez-Bravo et al. report that the nuclear pore complex scaffolds spindle assembly checkpoint signaling in interphase, providing a store of inhibitory signals that limits the speed of the subsequent mitosis.

We consider geometric words ω1 · · ·ωn with letters satisfying the restricted growth property ωk ≤ d + max{ω0, . . . , ωk−1}, where ω0 := 0 and d ≥ 1. For d = 1 these words are in 1-to-1 correspondence with set partitions and for this case we show that the number of left-to-right maxima (suitable centered) does not converge to a fixed limit law as n tends to infinity. This becomes wrong for d ≥...

Abstract We study the semi-classical limits of the first eigenfunction of a positive second order operator on a compact Riemannian manifold, when the diffusion constant goes to zero. If the drift of the diffusion is given by a Morse-Smale vector field b, the limits of the eigenfunctions concentrate on the recurrent set of b. A blow-up analysis enables us to find the main properties of the limit...

Cellular automata are the most natural discretization of dynamical systems. Their long-term behaviour is captured in their limit set, also known as the maximal attractor. We investigate what complexity limit sets can have from the point of view of language theory, and we try to give some dynamical characterizations of subshifts that are limit sets. Then, the inverse problem of determining the l...

The authors study the ω-limit set dichotomy of the Kolmogorov systems ẋi = xifi(x), xi 0, 1 i n with the cooperative and irreducible hypotheses and obtain the quasiconvergence almost everywhere when n = 3, which gives an affirmative answer to the open problem by Smith [9, p.72] in the case of n = 3.

a concept of weak $f$-property for a set-valued mapping is introduced‎, ‎and then under some suitable assumptions‎, ‎which do not involve any information‎ ‎about the solution set‎, ‎the lower semicontinuity of the solution mapping to‎ ‎the parametric‎ ‎set-valued vector equilibrium-like problems are derived by using a density result and scalarization method‎, ‎where the‎ ‎constraint set $k$...

We show that there is a bijection between the renormalizations and proper completely invariant closed sets of expanding Lorenz map, which enable us to distinguish periodic and non-periodic renormalizations. Based on the properties of periodic orbit of minimal period, the minimal completely invariant closed set is constructed. Topological characterizations of the renormalizations and α-limit set...

We prove the conjectured limiting normality for the number of crossings of a uniformly chosen set partition of [n] = {1, 2, . . . , n}. The arguments use a novel stochastic representation and are also used to prove central limit theorems for the dimension index and the number of levels.